The women aren't wiseguys transformed, but just normal guys who want to get out the crappy minimum wage for males and the rising unemployment rates for them (though they don't know they will be transformed when they accept the offer). I've set up the society where the mafia actually has changed their misogynist mindset over the years. In this society, the mafia treat women with respect, only if they are respectful towards the men. Their hatred changes to the unemployed men, who they regards as unlucky and unskillful to be part of their organization.
The project of transforming unaware men seeking better wages into women isn't run by the mafia but the society as a whole. This is where the mafia has gained influence over the people, with the people adopting their lifestyle and views. They view men as unfavorable, since some are overly macho and don't know how to respect a woman. This is why the highest paid men are either in the mafia, CEO's of organizations, and prize fighters. There is a great demand for women in the workplace. Men mostly like those who aren't afraid to work half-naked (hence the bunny costume in the Casino).
The project itself tried to be secret, but with the unemployment rates of woman dropping (with half of them being genderswapped men) it kinda just let itself out into the public by word of mouth. But the disbelief and pride of men prevented them from entering into the "Offer." This is why the "Offer" can only be found in classified and the hiring offices are out of way (like in an alley).
Made women pretty much have to fend for themselves, but a recurring trait in all women makes them help each other out. Most apartments are run by these women and hiring offices have female secretaries specialized in giving training and/or help them find work. Work depends on skills and how the women look. If they are skillful and astonishingly beautiful, there is a wide plethora of jobs for them. If they only have a high school diploma kind of education and is average looking, they must find training and/or learn how to be pretty.